The Child can take up the name of his father as he was his natural father also though the second marriage is void child is legitimate he/she can also claim the equal property rights being a natural born.
The Amendment Act of 1976 (Act 68 of 1976) amended Section 16 of the Hindu Marriage
Act, 1955. By this amendment, irrespective of whether marriage is null and void under
Section 11, any child of such marriage whether born before or after the commencement of
the Amendment Act shall be legitimate. Sub section 3 of this section also grants a right to
property of the parents, to such illegitimate children.
Under Hindu Law the illegitimate children are deemed to be legitimate and are
granted a right to inherit the property of their parents